Write and solve the system of linear equations described by the application and then answer the question. one hundred twenty feet of fencing encloses a rectangular garden on three sides. one side of the garden is the side of a barn and requires no fencing. the longer side is parallel to the barn. if the length of the longer side of the rectangle is twice the width, what are the dimensions of the garden?

Two conductors, a and b, are each in the shape of a tetrahedron. but of different sizes. they are charged in the following manner: 1. tetrahedron a is charged from an electrostatic generator to charge q. 2. tetrahedron a is briefly touched to tetrahedron b. 3. steps 1 and 2 are repeated until the charge on tetrahedron b reaches a maximum value. if the charge on tetrahedron b was q/4 after the first time it touched tetrahedron a. what is the final charge qbmax on tetrahedron b?